Question

Define the binary operator ∇ by: a ∇ b = 4 Simplify each of the following. Do the order of operations (do what is in parentheses first). ( 4 ∇ 3 ) ∇ 6 = ( 7 ∇ 2 ) ∇ 5 =

Answer 1

Given that a ∇ b = 4, it doesn't matter what values you choose for a and b, the result of the ∇ operation is always 4.

So, unless your question is missing some additional details, we have

(4 ∇ 3) ∇ 6 = 4 ∇ 6 = 4

and

(7 ∇ 2) ∇ 5 = 4 ∇ 5 = 4